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erastova [34]
3 years ago
14

Will the Brainliest answer!!! solve for x and y. 946x+642y=911

Mathematics
2 answers:
Ronch [10]3 years ago
8 0

While you cannot solve 946x+642y=911 for numerical values of x and y, you can indeed solve 946x+642y=911 first for x and then for y:

-911 - 642y

For x: 946x+642y=911 becomes 946x = 911 - 642y, or x = ------------------

946

911-946x

For y: 946x+642y=911 becomes 642y = 911-946x, or y = ---------------

642

trasher [3.6K]3 years ago
5 0

This is one of the Diophantine equations. The solution is usually positive integers. This is an exception. It either requires fractions (I hope not) or negative numbers.


So let's see what we have.


Let's start with some obvious statements.

Is there any kind of integer that will solve this? My inclination is to say no. 911 is an odd number. How can 2 evens be manipulated to give an odd? No way using integers that I know of. So it looks like there are an infinite number of real solutions but no integers.


946x+642y=911


Is there any common factor to each of the numbers? Put another way, is 911 prime? The other two are not. 911 is prime. Our next step is to graph it. Maybe that will tell us something. We get the x and y intercepts, but nothing near an answer. You can go to desmos yourself and put this graph in. Just click on any point that looks reasonable to you. They are all give at least 1 decimals.


I think your teacher is just trying to work with awkward numbers. So work with awkward numbers. You could always just put in say 3 for x and solve for y.

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2) 4.5 feet

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Find the slope of each line then tell what the slope represents
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slope=(y2-y1)/(x2-x1)
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(5,23.75) and (10,47.50)
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(47.50-23.75)/(10-5)=23.75/5=4.75
slope=4.75
y=mx+b
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y=114
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2. points
(0,56.00) and (3,45.5)
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x intercept is when y=0 is when he has no money left





1.a. rate of change=4.75
   b. $114

2. a.do this yourself, (desmos graphing calculator)
   b. slope=-3.5 (duh, means money goes down with time)
   c. equaiton is y=-3.5x+0, xint meanss when he has no money, y int means when time=0 or when it started
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An irrigation system (sprinkler) has a parabolic pattern. The height, in feet, of the spray of water is given by the equation ℎ(
maw [93]
  1. The irrigation system is positioned 9.5 feet above the ground to start.
  2. The spray reaches a maximum height of <u>84.5 feet</u> at a horizontal distance of <u>5 feet</u> away from the sprinkler head.
  3. The spray reaches all the way to the ground at about 10.87 feet away​

<h3>How to determine the position?</h3>

Since the height (feet) of the spray of water is given by this equation h(x) = -x² + 10x + 9.5, we can logically deduce that the irrigation system is positioned 9.5 feet above the ground to start.

<h3>How to determine the maximum height?</h3>

For any quadratic equation with a parabolic curve, the axis of symmetry is given by:

Xmax = -b/2a

Xmax = -10/2(-1)

Xmax = 5.

Thus, the maximum height on the vertical axis is given by:

h(x) = -x² + 10x + 9.5

h(5) = -(5)² + 10(5) + 9.5

h(5) = -25 + 50 + 9.5

h(5) = 34.5 feet.

Therefore, the spray reaches a maximum height of <u>84.5 feet</u> at a horizontal distance of <u>5 feet</u> away from the sprinkler head.

Also, the spray reaches all the way to the ground at about:

Maximum distance = √34.5 + 5

Maximum distance = 10.87 feet.

Read more on maximum height here: brainly.com/question/24288300

#SPJ1

<u>Complete Question:</u>

An irrigation system (sprinkler) has a parabolic pattern. The height, in feet, of the spray of water is given by the equation h(x) = -x² + 10x + 9.5, where x is the number of feet away from the sprinkler head (along the ground) the spray is.

1. The irrigation system is positioned____ feet above the ground to start.

2. The spray reaches a maximum height of ____feet at a horizontal distance of feet away from the sprinkler head.

3. The spray reaches all the way to the ground at about_____ feet away​

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